Write the slope intercept inequality for the graph below. If necessary use <= or >=

 y < -4x + 3

Step-by-step explanation:

First  you need to use the given coordinates to write an inequality in slope intercept form.  

(1,-1)  and (2,-5) now use the the given coordinates to find the slope.

The slope is the difference in the y values divided by the differences in the x values.

-1 - (-5) = 4

1-2 =  -1    

4/-1 =   -4    The slope is -4  now find the y intercept. By using the formula  

y = mx +b   but after you are done you would have to switch the equal to sign to and inequality sign.

Plot in the x and y coordinates in the formula and the slope to solve for b.

-1=-4(1) +b

-1 = -4 +b

+4  +4

b = 3  

So now we know that in slope-intercept form,the equation will be y = -4x + 3  

But now we have to determine the inequality sign.

Since the line is a dashed line that means the the sign has to be > or <     this is because we are not including the numbers that lies on the line.

The painted side of the graph means that all those numbers are a set of solutions to the graph and we can see they are all underneath the line so the graph will  be    y < -4x + 3